Locating warehouses. southeastern foods has hired you to analyze their distribution-system design. the company has 11 distribution centers, with monthly volumes as listed below. seven of these sites can support warehouses, in terms of the infrastructure available, and are designated by (w).

the monthly fixed cost for operating one of these warehouses is estimated at $3,600, although there is no capacity limit in their design. southeastern could build warehouses at any of the designated locations, but its criterion is to minimize the total of fixed operating costs and variable shipment costs. the table below shows the cost per carton of shipping from any potential warehouse location to any distribution center.

center volume center volume
atlanta (w) 5,000 memphis (w) 7,800
birmingham (w) 3,000 miami 4,400
columbia (w) 1,400 nashville (w) 6,800
jackson 2,200 new orleans 5,800
jacksonville 8,800 orlando (w) 2,200
louisville (w) 3,000
using the evolutionary solver, find the minimum monthly cost for southeastern foods.